The sprinter's changing speed, as well as the speed of any other moving object or person, is displayed on a velocity-time graph. The slope of the graph line on a velocity-time graph is used to represent acceleration.
What is meant by acceleration?Velocity's rate of change with time, both in terms of speed and direction. A point or object going straight ahead is accelerated when it accelerates or decelerates. m/s2 is the unit of acceleration. The term "constant acceleration" refers to the pace at which a particle's velocity changes.
Which four forms of acceleration are there?Uniform Acceleration. Non uniform acceleration. Instantaneous Acceleration. The slope of the time-velocity graph determines the rate of acceleration.To know more about acceleration visit:
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A cylinder contains 0.35 m3 of air at 50oc and 276 kn/m2 absolute. the air is compressed to 0.071 m3. assuming isentropic conditions, what is the isentropic bulk modulus of elasticity?
By using Hooke's Law, the isentropic bulk modulus is 1,360,563.38 Pa.
We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as
F = k . x
where F is force, k is spring constant and x is displacement.
The bulk modulus can be measured by stress and strain which
B = σ/ε
B = (F/A) / (ΔV/V)
where σ is stress, ε is strain, A is surface area, ΔV is change in volume and L is initial volume.
From the question above, we know that
σ = 276 kN/m² = 276 kPa = 276000 Pa
V = 0.35 m³
ΔV = 0.071 m³
By substituting the given parameters, we get
B = σ/ε
B = 276000 / (ΔV/V)
B = 276000 / (0.071/0.35)
B = 1,360,563.38 Pa
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Ka, kb, and ksp are all different types of equilibrium constants. what is the difference between ka, kb and ksp?
Ka, Kb, and Ksp are all different types of equilibrium constants. The difference between these three is that Ka is the acid dissociation constant, Kb is the base dissociation constant and Ksp is the solubility product constant.
The relationship between a reaction's products and reactants with regard to a certain unit is expressed by the equilibrium constant, K. When an acid and its conjugate base are in equilibrium, Kb serves as the equilibrium constant, Ka is the acid equilibrium constant. Simply put, pKa is the -log of Ka.
Similar to this, Kb is the base dissociation constant and pKb is its -log. The moles per liter (mol/L) unit of measurement is commonly used to express the acid and base dissociation constants. The amounts of species present when ions are in equilibrium with undissolved salt are described by the solubility product (Ksp).
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Twenty or so years ago, a cup of coffee was 8 fl. oz and contained about 45 kcal, today a standard mocha is 16 fl. oz and contains how many kcals?:
Answer:
16fl = 90 kacl because 8 fl double = 16 fl so 45 kcal = 90 kcal (double )
S
6
Electric Pencil
Sharpener:
Moving electrons cause the
blades to spin.
Game Controller:
The gamer manually
manipulates the joystick and
the movements are translated
into electrical impulses that
travel to the gaming system
through the wires.
→>
An electric pencil sharpener is a small motorized appliance for sharpening or refreshing the points on lead pencils.
An electric pencil sharpener is a small motorized equipment for polishing or fresh the factors on lead pencils. Within the hollow, a small electric powered motor turns a blade meeting at high velocity. The blades shave wooden and lead from the pencil's cease, bringing it to some extent.
The old-fashioned pencil sharpeners which are established to the wall and cranked through a manage are an instance of a compound system that is composed simple machines: the wheel and axle and a wedge.
You could sharpen colored pencils in an electric sharpener, however make certain to be very mild with your pencils and often easy your sharpener to put off any wax increase. If performed improperly, sharpening your colored pencils in an electric sharpener can harm each your pencils and your sharpener.
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If the density of a metal sample is 1.56 g/l and the volume of the sample is 250ml, calculate the mass of the metal sample. group of answer choices
The metal sample with a density of 1.56 g/l and a volume of 250ml , has a mass of: b) 0.39 grams
The density formula and the procedure we will use is:
ρ = m/v
Where:
v= volumeρ= densitym= massInformation about the problem:
ρ= 1.56 g/Lv= 250mlm= ?Converting the volume unit from mL to L, we have:
250 mL * (1 L / 1000 mL) = 0.25 L
Applying the density formula and clearing the mass (m), we get:
m = ρ * v
m = 1.56 g/L* 0.25 L
m = 0.39 g
Although part of your question is missing, you might be referring to these group of answer choices: a)6.24 grams; b)0.39 grams; c)0.16grams; d) 0.59 grams
What is density?It is a physical quantity that expresses the ratio of the body mass to the bit occupies.
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Light with a frequency of 7. 30 x 1014 hz lies in the violet region of the visible spectrum. What is the wavelength of this frequency of light? please answer in nm and round to the nearest whole number.
Light with a frequency of 7.30 x 10¹⁴ that lies in the violet region of the visible spectrum has a wavelength of 412nm.
What is wavelength?The wavelength of light can be defined as the distance between two successive crests, or troughs of a wave of light, usually denoted by the Greek letter, lambda (λ).
Wavelength is directly proportional to frequency. This means that the shorter the wavelength, the higher the frequency. To find the wavelength of any electromagnetic wave if we are given the frequency, we use the following formular:
λ = [tex]\frac{v}{f}[/tex]
Where;
λ represents the wavelengthv is the velocity of lightf is the frequency of the waveThe velocity or speed of light is the same for all electromagnetic waves which is 3 x 10⁸m/s. We are already given the frequency in the question as 7.30 x 10¹⁴hz. Putting these values into the formular:
λ = 3 x 10⁸/7.30 x 10¹⁴
λ = 4.12 x 10⁻⁷m
However, to convert the wavelength from meter to nanometer, we would have to multiply the answer by 10⁹. Therefore;
λ = 4.12 x 10⁻⁷m x 10⁹ = 412nm
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a. Is the swimming pool method an accurate way of measuring the wave speed? Explain why.
b. Explain how you could improve the accuracy.
c. The crest of an ocean wave moves a distance of 20 m in 10 s. Calculate the speed of the ocean wave.
The crest of an ocean wave moves a distance of given time is 2 m/s.
Equation :To know the speed of the wave,
Use the formula,
speed = distance / time
Given,
distance = 20 m
time = 10s
s = ?
Putting values,
s = d / t
s = 20 / 10
s = 2 m/s
Does velocity depend on speed?Although some individuals may believe that average speed and average velocity are simply two different names for the same quantity, average speed depends on both distance and displacement. The average speed will be greater than the average velocity if an object changes direction while traveling.
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Date: 09/10/2022
What is the equation to finding time using acceleration..
Is it:
T = V - U / A
——————————
Answer:
yes it's the right answer...............
If a binomial experiment involves flipping a fair coin seven times and counting the number of tails that result, the probability of five tails turning up in seven flips is what?
The probability of five tails turning up in seven flips is 16.4%
What is a Binomial Experiment?
In reality, if one concentrates on one possible outcome, referring to it as success and all other outcomes as a failure, one can say that an experiment with three or more possible outcomes is a binomial experiment.
When researching the decay of a kaon in elementary particle physics, for instance ( K particle).
Binomial random variables are produced by binomial experiments, and they will be the subject of our next couple of lessons.
A very particular kind of experiment is a binomial experiment. Four requirements must be satisfied for an experiment to be considered a binomial experiment:
A specific number of trials must be conducted. Because the number of rolls (trials) is not fixed, the experiment cannot simply consist of rolling a die until you get a 2.
Every trial must stand alone from the others.
A rule like "If you flip a coin and get heads, flip it twice more, and if you get tails, flip it three times more" is not acceptable.
There must be a "success" and a "failure" in every trial. These may vary depending on the trial.
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017 10.0 points
Cliff divers at Acapulco jump into the sea from a
cliff 33.7 m high. At the level of the sea, a rock
sticks out a horizontal distance of 7.51 m. The
acceleration of gravity is 9.8m/s². With what
minimum horizontal velocity must the cliff divers
leave the top of the cliff if they are to miss the rock'?
Answer in units of m/s.
The minimum horizontal velocity must the cliff divers leave the top of the cliff if they miss the rock would be 2.86 m/s.
What is velocity?It is the rate of change of an object's position with regard to time and a frame of reference. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction.
SI unit of velocity is m/s.
Velocity= displacement/ time
There are different types of velocity :
Uniform VelocityNon-Uniform VelocityAverage VelocityInstantaneous velocityAccording to the question :
h=[tex]V_o[/tex]×t +0.5(g)(t²)
=0+0.5(9.8)(t²)
⇒4.9 t²=33.7
⇒ t²=6.89
so, t=2.62 seconds
d=v×t=7.51 m
⇒2.62 V=7.51 m
V=7.51/2.62
V=2.86 m/s
Hence, the minimum velocity must be 2.86 m/s.
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If you are using the 10x objective of a compound light microscope, what would be the final magnification?.
The final magnification will be 100X.
The light compound microscope contains two lenses to assist viewing of small objects. The two lenses are ocular lens and objective lens. Ocular lens is in the eyepiece and magnifies the image. Objective lens is near the sample and magnifies the object. Ocular lens is always 10X. Now, if we use objective lens of 10X, the magnification will be calculated by multiplication. So, the final magnification of the microscope will be 100X.
Compound microscope is commonly used to view the samples in magnification ranging from 40X to 1000X. There are variety of microscopes that provide detailed and highly magnified images, for instance, fluorescence microscope, digital microscope, electron microscope etc.
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A sail boat is being blown with a constnalt velocity. whats the direction of the net force?
The acceleration's direction is always mirrored by the net force.
Given that a sailboat is moving across the water at a constant speed, we must determine the direction of the fourth point on the board.
As a result, we can claim that the investigation of bowties judo has been granted that bowties are moving at a constant speed.
In light of Newton's second law, the net force exerted on the boat is thus negligible since it equals mass times acceleration, and since acceleration is zero.
As a result of the velocity limitations, the solution is equal to this rate of change in velocity.
Execution is 0 for now. So that we can understand their responsibilities. There was no fourth act aboard the boat.
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Light travels from crown glass, with a refractive index of 1.52, into water, having a refractive index of 1.33? the critical angle for this interface is closest to which one of the following angles?
The critical angle for this interface is closest is 45.6 degrees.
The refractive index is the velocity or the speed of the light through which the ratio is calculated by comparing that velocity to be present in the vacuum by its velocity in any specified medium which can be water or air and this medium is also called secondary medium and this medium should be greater density than the former one. The refractive index is represented by the letter 'n' and the value of the refractive index for air is 1.0003 and in the case of liquid the refractive index values can range from 1.0010 to 1.0060 and the formula for the refractive index calculation is n = c/v where n is the refractive index, c is the velocity or speed of light and v is the phase velocity of light that means when light is some other phase like liquid or air or refractive index can also be defined as the bending of the light when the light passes from one medium to other of different densities.
Given -
The Refractive index of crown glass is = 1.52
The Refractive index of water is = 1.33
The angle of incidence = 40°
To calculate the angle of refraction in water -
Using Snell's law
[tex]n_1 sin \theta i = n_2 sin \theta r[/tex]
[tex]n_1 / n_2 = sin \theta r/sin \theta i[/tex]
Where,
[tex]n_1[/tex] = Refractive index of crown glass
[tex]n_2[/tex] = Refractive index of water
[tex]\theta[/tex] i = incidence angle
Putting the value we will get
1.52 /1.33 = sin [tex]\theta[/tex]r / 40
sin [tex]\theta[/tex]r = sin 40 [tex]\times[/tex] 1.52 / 1.33
sin [tex]\theta[/tex] r = 0.715
So, theta r will be
[tex]sin^{-1}[/tex] ( 0.715 ) = 45.6 degrees.
Hence the correct answer is 45.6 degrees of the critical angle.
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A gas is compressed adiabatically by a force of 800 n acting over a distance of 5.0 cm. the net change in the internal energy of the gas is:________
The net change in the internal energy is 40joules.
Given here, the force (F) = 800N acting over a distance of (D) = 0.05m(1cm = 0.01m)
First, we calculate work done by the formula,
Work done = Force × displacement
Work done = 800× 0.05
= 40joules.
Now, we calculate internal energy the first law of thermodynamics.
Internal Enegy (dE) =dQ + W
dE= 0+40
dE = 40joules.
Thus, internal energy was found to be +40joules.
Adiabatic process is a kind of thermodynamic process that takes place without the thermodynamic system or its surroundings exchanging heat or matter, in simple words it is defined as the system where no heat loss Or gained by the system.
An adiabatic process only transfers energy to the environment as work, as contrast to an isothermal process. The adiabatic process is a fundamental idea in thermodynamics and supports the law behind the first law of thermodynamics.
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Let the frequencies be substantially different if any frequency is at least twice any other frequency. does it appear that these births occur on the days of the week with equal frequency?
yes, it appears that births occur on the days of the week with frequencies that are about the same.
It is obvious from the relative frequency table that almost no day has a relative frequency value that is double that of any other day. We may thus draw the conclusion that these births happen almost equally frequently on each day of the week. Please keep in mind that the relative frequency statistics vary slightly over the course of seven days.
what is frequency?The quantity of waves passing a fixed point in a unit of time, as well as the quantity of cycles or vibrations a body in periodic motion experiences in a given period of time. After going through a sequence of actions or postures and then returning to its initial condition, a body in periodic motion is said to have experienced one cycle or one vibration.Greek letters nu (v) and omega (ω) are also often employed as symbols denoting frequency. Nu is more frequently used to describe electromagnetic waves like light, X-rays, and gamma rays. Omega is often used to represent the angular frequency, which is the amount of rotation or circumference an object experiences in radians per unit of time.To know more about frequency visit:
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What is the symbol, atomic number, # of protons, # of electrons, atomic mass, rounded atomic mass, # of neutrons (show work), and period of: oxygen
The symbol of the element oxygen is O, its proton number is 8, its atomic mass is 16, its neutron number is 8 and finally; oxygen belong to period 2 of the periodic table.
That being said, every atom of an element has within its nucleus; proton and neutrons of which electrons revolve round it. In the case of oxygen, it has
8 protons8 neutrons8 electronsAtomic number of 8Atomic mass of 16.Oxygen, because it belongs to group vi and period 2 of the periodic table has a valence electrons of 6 electrons. This means that oxygen is a non metals.
What is meant by an element?An element can simply be defined as a chemical substance which which cannot be split into simpler units by ordinary means
An atom is the smallest part of element which can take part in a chemical reaction. Oxygen is a diatomic element which means that it exist in its molecules consisting of two atoms.
Below are the names of some elements:
Hydrogen, HHelium, HeLithium, LiBeryllium, BeBoron, BCarbon, CNitrogen, NOxygen, OFluorine, FNeon, NeSodium, NaSo therefore, the symbol of the element oxygen is O, its proton number is 8, its atomic mass is 16, its neutron number is 8 and finally; oxygen belong to period 2 of the periodic table.
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A hiker walks 1200 meters due north, and then 500 meters due east. what total distance has she traveled?
She has travelled a total of 1300 metres away from the starting point if she travels 1200 metres north and 500 metres due east.
Description How do you determine your overall distance from the starting point?We can determine the total distance travelled by a body with position function s (t) when it moves along a coordinate line without changing direction from t = a to t = b.
We must incorporate the body’s speed |v (t)| to determine the overall distance travelled if the body changes direction once or more during the journey.
What is the distance in total measured in?Metre
The metre [m] is the SI unit of length and displacement.
CalculationLet A is the initial position of the hiker.
After walking 1200 metres north reached point B, after walking 500 metres east due to B. She reached point C.
Total distance travelled = 1200 + 500
= 1700
The distance from strating point is AC from triangle ABC
AC^2 = AB^2 + BC^2
AC^2 =(1200)^2 + (500)^2
= 1440000 + 250000
= 1690000
AC^2 = 1690000
AC= [tex]\sqrt{1690000}[/tex]
⇒ AC = 1300 m
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An industrial laser is used to burn a hole through a piece of metal. what is the rms value value of the electric field?
A chunk of metal gets burned through using an industrial laser. The RMS value of the electric field will be 2.25 mT.
What is RMS Value?Root Mean Square is the name for this phrase. The square root of the mean square of the voltage signal's instantaneous values is known as an RMS voltage. The quadratic mean is another name for the RMS. In terms of an integral of the squares of the instantaneous values over a cycle, RMS voltage can also be expressed as a continuously fluctuating voltage.
Average intensity of the light is S=1.21×[tex]10^{9}[/tex] w/m²
The RMS value will be :
S=ε₀c[tex](E_r_m_s)^{2}[/tex]
[tex](E_r_m_s)^{2}[/tex]=S/ε₀
=√(1.21×[tex]10^{9}[/tex]) / (8.85×[tex]10^{-12}[/tex])(3.0×[tex]10^{8}[/tex] m/s)
=6.75×[tex]10^{5}[/tex] N/c
B=[tex](E_r_m_s)[/tex]/c
=(6.75×[tex]10^{5}[/tex] N/c) / (2.25×[tex]10^{-3}[/tex] m/s)
=2.25×[tex]10^{-3}[/tex] T
=2.25 mT
Hence, the RMS value of the electric Field is 2.25 mT.
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Atoms are very small compared to objects on the macroscopic scale. the radius of a gold atom is 144 pm. what is this value in meters and in centimeters?
The value in centimeters is [tex]1.44 \times 10^{-8}[/tex] cm.
Dimensional analysis is a method for changing a measurement's unit of measurement. A single unit of measurement can be multiplied by a number of fractions that, although expressed in different units, are essentially the same measurement.
A unit of measurement is a specific magnitude of a quantity that is adopted by law or convention and used as a standard for measuring other quantities of the same kind. Another amount of that type may be expressed as a multiple of the measuring unit.
Radius of gold =144pm
[tex]=144pm\times 1m/10^{12}pm[/tex]
[tex]=144 \times 10^{12} m[/tex]
[tex]=1.44 \times 10^{-10} m[/tex]
[tex]= 1.44 \times 10^{-8} cm.[/tex]
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The density of a certain type of steel is 8.1 g/cm3. what is the mass of a 100.0 cm3 chunk of this steel?
The mass of a 100.0 cm3 chunk of this steel is 810 grams.
What is Density?
A substance's density is defined as its mass per unit of volume. Density is most frequently represented by the symbol, however Latin letter D may also be used. Density is mathematically defined as mass divided by volume.
Density = Mass/ volume
Mass = density x volume
Mass at 100 cm3 = density x volume x 100 cm3
Mass at 100 cm3 = 8.1 g/cm x 100 cm 3
Mass at 100 cm3 = 810 grams
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How did newton's generalized binomial theorem improve on the expansion of (a b)^n?
Because Newton could not provide comprehensive proof, his Binomial Theorem is not a "theorem" in the sense of Euclid or Archimedes. Nonetheless, his knowledge and intuition served him well enough for him to construct a useful formula.
Furthermore, his intrinsic conviction in the persistence of patterns led him to believe that the formula that correctly generated coefficients for binomial powers such as (a+b)^2 or (a+b)^3 should also work for powers such as (a+b)^1/2 or (a+b)^−3.
Although Newton did not establish this finding, we do know how he came to it. Newton's explanation is offered in a pair of letters dated 1676 and delivered to Leibniz by Henry Oldenburg of the Royal Society. In it, he describes how he came to his conclusion in a roundabout way.
He was looking at the areas under the curves y=(1−x2)n2 from 0 to x for n=0, 1, 2, 3,.... These are simple to compute for even n. Newton was able to guess the solution for odd values of n by studying patterns and interpolating. Then he recognized that expressing (1−x2)n2 as an infinite series would provide the same results.
Newton wrote :
(P+PQ)mn=Pmn+mnAQ+m−n2nBQ+m−2n3nCQ+…
where P+PQ is the binomial to be considered; mn is the power to which the binomial will be raised "whether that power is integral or (so to speak) fractional, positive or negative"; and A,B,C,... indicate the term immediately preceding it in the expansion.
When compared to the present version, this may appear strange. When you remove the Pmn word from the right side and cancel, you get the more known form:
(1+Q)mn=1+mnQ+(m/n)(m/n−1)2Q2+(m/n)(m/n−1)(m/n−2)2×3Q3+(m/n)(m/n−1)(m/n−2)(m/n−3)2×3×4Q4+…
Thus, in Newton's notation,
A=Pmn
B=mnAQ=mnPmnQ
C=(m−n)2nBQ=(m−n)m(2n)nPmnQ2=(m/n)(m/n−1)2PmnQ^2
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Help! Which description includes a vector quantity?
a
The elevator moved upwards at 2.5m/s.
b
The box had a volume of 0.3m3.
c
The car moved at a speed of 24 m/s.
d
The desk had a mass of 47 kg.
Answer:
a
Explanation:
vector is size and direction
hope this works :)
A circular object is spinning around its center. as you move out from the center (meaning the radius is increasing), what happens to the angular speed?
When an object is spinning around its center, as you move out from the center and the radius increases: the angular velocity decreases
The fact that the angular velocity of an object that is spinning around its center decreases as the object moves away from the center is due to the fact that as it moves away from the center the radius increases and because the relationship between radius and angular velocity is inversely proportional, as the radius increases the angular velocity decreases.
What is angular velocity?When an object is in uniform circular motion, the angle described by the radius in each unit of time is known as angular velocity. It is measured in units of (rad/s) (revolutions/s).
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can someone check?? please
A circular rod with a length of 3.6 m and a diameter of 2.6 cm is subjected to an axial load of 61 kn . if the resulting change in length is 3.52 mm , what is the modulus of elasticity?
The modulus of elasticity is 117.5 KN/[tex]cm^{2}[/tex].
How can we find the modulus of elasticity?
Modulus of elasticity is commonly known as Young's Modulus, which is denoted as E. To find modulus of elasticity we know that,
E = σ / ∈-----(1)
where σ is denoted as stress,
and ∈ is denoted as strain.
σ = F/A ------(2)
where F is denoted as load,
and A is denoted as area.
∈= ΔL/L ------(3)
where ΔL is denoted as the resulting change in length,
and L is denoted as the original length.
Given that,
L = 3.6m = 360cm
d = 2.6cm
F = 61 KN
ΔL = 3.52mm = 0.352cm
E = ?
By substituting the values in (2) & (3) we get,
⇒ σ = F/A
A = π/4 [tex]d^{2}[/tex] = (π/4)×([tex]2.6^{2}[/tex]) = 5.3092 [tex]cm^{2}[/tex]
σ = 61/(5.309) = 11.5
⇒ ∈ = ΔL / L
= (0.352) / 360
E = σ / ∈
= [tex]\frac{(61)(360)}{(5.309)(0.352)}[/tex] = 1177 KN/[tex]cm^{2}[/tex]
Therefore the modulus of elasticity is 1177 KN/[tex]cm^{2}[/tex]
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If the compressive strength of normal weight concrete is 4 ksi, then, according to aci 318-19, the modulus of elasticity is approximately ______ ksi.
The modulus of elasticity of normal weight concrete is 9400 ksi.
The modulus of elasticity is the measure of the stiffness of a substance. It measures the resistance of an object to being deformed.
Generally, the objects with higher values of modulus of elasticity are stronger and therefore preferred to be used as a building material for construction purposes.
The relation between the compressive strength(C) of a substance and its modulus of elasticity(E) is given by the following formula;
E = 4700√C ksi
We are given that the compressive strength of normal weight concrete is 4 ksi,
Therefore, E = 4700 √4
E = 9400 ksi
Thus, the modulus of elasticity of normal weight concrete is 9400 ksi.
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A shopper at the mall of georgia at christmas has to park 800 meters away from the entrance. it takes them 20 minutes to walk to the doors. a) how long are they walking in seconds? b) what is the shopper's speed in meters per second?
a) The shoppers who walked from the car to the door in 20 minutes walked for 1200 seconds.
b) The shoppers' walking speed in meters per second is 0.67m/s.
A) In the question, we are already given how long it took for the shoppers to walk from their car to the entrance of the shopping mall, although it's in minutes. We are told that it took them 20 minutes to walk from their car to the entrance. In order to know how long they were walking in seconds, we would have to multiply by 60. This is because there are 60 seconds in one minute. Hence, to find the number of seconds in 20 minutes, we multiply 20 minutes by 60 seconds, thus;
20 minutes × 60 seconds = 1200 seconds.
B) Now that we know how long the shoppers were walking in seconds, we can use it to get their walking speed. To find the speed of any moving object, we divide the distance the object travelled by the time taken for the object to cross that distance in seconds. In the question, we are told that the shoppers parked their car 800 meters away from the entrance. This means that the distance they walked to get to the entrance is also 800 meters. Thus to find their walking speed;
Speed = distance ÷ time
Speed = 800 meters ÷ 1200 seconds
Speed = 0.67 m/s.
Therefore, the shoppers walked for 1200 seconds at 0.67m/s.
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A domestic car manufacturer claims that their sports car will accelerate from rest to a speed of 41.0 m/s in 7.20 s.
(a) Determine the magnitude of the average acceleration of the car (in m/s2).
m/s²
(b) Assume that the car moves with constant acceleration. Find the distance (in m) the car travels in the first 7.20 s.
m
(c) What is the speed of the car (in m/s) 10.0 s after it begins its motion if it continues to move with the same acceleration?
m/s
The magnitude of the average acceleration of the car is 5.69 m/s², the distance (in m) the car travels in the first 7.20 s is 147.5 m an the speed of the car (in m/s) 10.0 s after it begins its motion will be 56 m/s.
What is average acceleration?Average acceleration is defined as the average rate of change of velocity per unit time. Mathematically -
a[avg] = Δv/Δt
Given in the question a sports car will accelerate from rest to a speed of 41.0 m/s in 7.20 s. From this, we can write -
Initial velocity [u] = 0 m/s
Final velocity [v] = 41 m/s
time taken (Δt) = 7.2 s
Part A → Average acceleration
The average acceleration of car can be calculated as follows -
a = Δv/Δt = (v - u)/t = (41 - 0) / 7.2 = 5.69 m/s²
Part B → Distance covered
The distance travelled by the car in first 7.20 seconds will be -
S = ut + 1/2 at²
S = 1/2 at²
S = 0.5 x 5.69 x 7.2 x 7.2
S = 147.5 m
Part C → Speed after 10 seconds
Using the first equation of motion -
v = u + at
v = at
v = 5.6 x 10
v = 56 m/s
Therefore, the magnitude of the average acceleration of the car is 5.69 m/s², the distance (in m) the car travels in the first 7.20 s is 147.5 m an the speed of the car (in m/s) 10.0 s after it begins its motion will be 56 m/s.
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A neutral solution of water at a particular temperature has a concentration of oh- of 5.3 x 10^-7. what is the kw at this temp?
An impartial explanation of water at a certain temperature has a concentration of oh- of 5.3 x 10^-7.
The kw at this temp = 2081 × [tex]10^{-13}[/tex]
What is neutral solution?The neutral solution is one in which the concentration of hydroxide ions is equal to that of hydrogen ions. The pH of this solution is always 7. These answers are neither acidic nor necessary. Example Because distilled water has a pH, it could be a neutral solution.A sodium chloride solution or a sugar solution could be used as a neutral solution. A neutral solution has a pH of 7. Water is another common material with a pH of neutral. A neutral solution is one that contains no acid or base.It can also defined as solution is one which has an equal concentration of [tex]H^+[/tex] and [tex]OH^-[/tex] ions in the solution.
Hence,
Kw = 2081 × [tex]10^{-13}[/tex]
concentration of [tex]OH^{-}[/tex]= 5.3 × [tex]10^{-7}[/tex] M
For neutral solution [tex]OH^{-}[/tex] = (H3O+) = 5.3 × [tex]10^{-7}[/tex] M
From relation from Kw, [tex]OH^{-}[/tex], and H3O+
Kw = [ [tex]OH^{-}[/tex]][H3O+] = 5.3 × [tex]10^{-7}[/tex] M × 5.3 × [tex]10^{-7}[/tex] M
Kw = 2.81 × 10_13
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A standard sheet of printer paper measures 8.5 inches and 11 inches long. calculate the length of one sheet in cm.
The length of one sheet of the standard sheet of printer paper in terms of centimeters is 27.94
As we are given that, the standard sheet of printer paper is 8.5 inches wide and 11 inches long,The calculation for this problem is just two-step,
So, we know that 1 inch is equal to 2.54 centimeters.
So, the width of the paper in terms of centimeters will be 8.5 X 2.54 =21.54 cm and the length of the paper in terms of centimeters will be 11 x 2.54 = 27.94 cm
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